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强混合样本且含附加信息情形M估计和分位数估计的渐近性质(英文)
引用本文:李英华,李元,秦永松.强混合样本且含附加信息情形M估计和分位数估计的渐近性质(英文)[J].应用概率统计,2018(5):515-532.
作者姓名:李英华  李元  秦永松
作者单位:广州大学经济与统计学院;广西师范大学数学与统计学院
基金项目:partially supported by the National Natural Science Foundation of China(Grant No.11671102);the Natural Science Foundation of Guangxi(Grant Nos.2017GXNSFAA198349;2016GXNSFAA3800163);the Program on the High Level Innuvation Team and Outstanding Scholars in Universities of Guangxi Province;the Program on the Basic Ability Promotion for Young and Middle-aged Teachers of Guangxi
摘    要:在强混合样本且含附加信息情形,本文采用经验似然方法提出了一类新的M估计和新的分位数估计.结果表明,本文提出的M估计和分位数估计具有相合性和渐近正态性,且其渐近方差比一般M估计和分位数估计的渐近方差小.

关 键 词:强混合样本  经验似然  M估计  分位数

M-estimation and Quantile Estimation in the Presence of Auxiliary Information under Strong Mixing Samples
LI Yinghua,LI Yuan,QIN Yongsong.M-estimation and Quantile Estimation in the Presence of Auxiliary Information under Strong Mixing Samples[J].Chinese Journal of Applied Probability and Statisties,2018(5):515-532.
Authors:LI Yinghua  LI Yuan  QIN Yongsong
Institution:(School of Economics and Statistics,Guangzhou University,Guangzhou,510006,China;Department of Mathematics and Statistics,Guangxi Normal University,Guilin,541004,China)
Abstract:LI Yinghua;LI Yuan;QIN Yongsong(School of Economics and Statistics,Guangzhou University,Guangzhou,510006,China;Department of Mathematics and Statistics,Guangxi Normal University,Guilin,541004,China)
Keywords:strong mixing sample  empirical likelihood  M-estimation  quantile
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